变系数线性系统的稳定性  

Stability of Variable Doefficient Linear Systemin Ordinary Differential Equations

作　　者：徐思林[1] 

机构地区：[1]青岛大学数学系

出　　处：《纺织高校基础科学学报》1996年第4期350-353,共4页Basic Sciences Journal of Textile Universities

摘　　要：给出了关于变系数线性系的稳定性判别法．方法是利用Ｂｅｌｌｍａｎ不等式和一个简单的变换，所得的判别法可应用于某些ｐｉｊ（ｔ）为无界的系统．in this paper, the stability of trivial solutions of the linear system dx/dt= Pij(t)xj (i= 1, 2, …, n) in considered. By using the ffellrnan' s inequality and one simpletransformahon, two criteria of the stability of the trivial solutions are obtaineds in which thecoefficients may be unbounded.

关 键 词：稳定性 渐近稳定性 变系数线性系统 

分 类 号：O175.13[理学—数学]